head covering vs veil

head covering and veil both are nouns.

Word	Noun	Adjective	Verb	Adverb
head covering	Yes	No	No	No
veil	Yes	No	Yes	No

As nouns, head covering and veil are synonyms defined as:

head covering (noun)	veil (noun)
a garment that covers the head and face	a garment that covers the head and face
	a vestment worn by a priest at High Mass in the Roman Catholic Church; a silk shawl
	the inner membrane of embryos in higher vertebrates (especially when covering the head at birth)
	a membranous covering attached to the immature fruiting body of certain mushrooms

head covering (verb)	veil (verb)
	make undecipherable or imperceptible by obscuring or concealing
	to obscure, or conceal with or as if with a veil